Abstract
The radiative corrections to double-Dalitz $({P\rightarrow\overline ll\overline l'l'})$ decays are revisited and completed up to next-to-leading order in QED, finding mild differences with respect to previous studies. These might be relevant for extracting information about the mesons transition form factors, which play an important role in determining the hadronic light-by-light contribution to the anomalous magnetic moment of the muon.
Highlights
Since the first measurements of the π0 → e+e−γ Dalitz decay in the early 60’s [1], there has been much interest in pseudoscalar mesons (π0, η, η ) Dalitz decays which, despite the challenges, have seen tremendous experimental progress in the recent years [2,3,4,5,6]
The radiative corrections to double-Dalitz (P → ̄ ̄ ) decays are revisited and completed up to next-to-leading order in QED, finding mild differences with respect to previous studies. These might be relevant for extracting information about the mesons transition form factors, which play an important role in determining the hadronic light-by-light contribution to the anomalous magnetic moment of the muon
The relevance of these decays is related to the fact that they probe the mesons electromagnetic structure encoded in their transition form factors (TFFs), FPγ∗γ∗ (q21, q22), d4 xeiq1·x 0|T { jμ(x) jν(0)}|P ≡ −i μνρσqρ1qσ2 FPγ∗γ∗ (q21, q22), (1)
Summary
Since the first measurements of the π0 → e+e−γ Dalitz decay in the early 60’s [1], there has been much interest in pseudoscalar mesons (π0, η, η ) Dalitz decays which, despite the challenges, have seen tremendous experimental progress in the recent years [2,3,4,5,6] The relevance of these decays is related to the fact that they probe the mesons electromagnetic structure encoded in their transition form factors (TFFs), FPγ∗γ∗ (q21, q22), d4 xeiq1·x 0|T { jμ(x) jν(0)}|P ≡ −i μνρσqρ1qσ FPγ∗γ∗ (q21, q22),. Before extracting information about the TFFs from experiment, it is instrumental to keep control on QED radiative corrections, which can distort the hadronic effects (this is, the TFF) Very recently, these corrections were revisited for the Dalitz decays, finding important corrections with respect to previous studies [9].
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